Question

# Pressure inside two soap bubbles is 1.01 and 1.02 atmosphere. The ratio between their volume is:

A
102 : 101
B
(102)3:(101)3
C
8 : 1
D
2 : 1

Solution

## The correct option is C 8 : 1Pressure $$\times$$ Radius = Surface TensionHere the pressure is Gauge Pressure, i.e the difference between absolute pressure and atmospheric pressure Hence ratio of gauge pressures is $$1:2$$ Accordingly ratio of radii is $$2:1$$ Since $$Volume \propto radius^3$$ Hence ratio of volumes is $$8:1$$ Physics

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